Answer:
Longer than 27.7 minutes.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?
Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So




So
Longer than 27.7 minutes.
Answer:
Option D is the correct answer
Step-by-step explanation:
The x intercepts of the parabola are the solutions of the equation. These points can be determined either by graphical method or by solving the quadratic equation with any of the methods of solving a quadratic equation.
In order to use the graphical method, values of x are picked and substituted into the equation to get corresponding values of y. The y values are plotted against the x axis and the parabola (downward) is drawn. The points where it cuts the horizontal axis become the solutions of the equation
y = x^2 - 9x + 18
Solving the equation by using the factorization method,
x^2 - 9x + 18 = 0
x^2 - 6x - 3x + 18 = 0
x(x-6)-3(x-6)
(x-6)(x-3) = 0
x -6 = 0 or x -3 = 0
x = 6 or x = 3
The x-intercepts are (3, 0) and (6, 0)
Answer: 2
Step-by-step explanation:
The slope of a line is
(rise over run)
This means for every point you must go up/down to get your next point you divide it by every point you go right/left.
From one point to the next it goes up 2 (rise) and right 1 (run)
so that is your slope
You would divide 192 by 6 to get y by itself
y=32